On Auslander's \(n\)-Gorenstein rings
In the first part of the paper it is proved that the last term of a minimal injective resolution of an \(n\)-Gorenstein ring of self-injective dimension \(n\) has essential socle. In the second part it is shown that the 1-Gorenstein property is inherited by maximal quotient rings.
scientific article; zbMATH DE number 858633
scientific article